Bulletin of the American Physical Society
2023 APS March Meeting
Volume 68, Number 3
Las Vegas, Nevada (March 5-10)
Virtual (March 20-22); Time Zone: Pacific Time
Session W19: Topology in Dynamical Systems
3:00 PM–5:24 PM,
Thursday, March 9, 2023
Room: Room 211
Sponsoring
Unit:
DCMP
Chair: Priya Sharma, University of Connecticut
Abstract: W19.00002 : Berry phase formalism of shift currents and its usage in discovering 3D topological observables: non-E-field-driven transports at topological transitions in insulators/semi-metals.*
3:12 PM–3:24 PM
Presenter:
Boqun Song
(Iowa State University)
Authors:
Boqun Song
(Iowa State University)
JIGANG Wang
(Iowa State University)
A current formalism suitable for handling situations with TPT is described. It is supposed to solve these challenges: (i) gap closing will cause divergence in Berry curvature and other observables, (ii) perturbation approaches (e.g., Fermi-golden) become invalid, (iii) occupancy will be strongly modified during transport and a linear proportionality to Fermi-distribution difference becomes invalid.
Berry phase formalism of shift currents is closely related to recent geometric pumping [1], it is inspired by Berry phase polarization theory [2] and shift current theory [3] and could be viewed as a bridge connecting the gulf between adiabatic and non-adiabatic limits. The current discovered is not E-field driven (E-field lifetime << currents lifetime) but is a coherent transport of momentum between heavier-lighter subsystems: the momentum of the lattice finds a dissipation-less way into electrons. Such currents rely on TPT and are characterized by anomalous temperature, field-strength dependence, etc. supported by models and first-principle simulations.
[1] B. Q. Song, et al. Phys. Rev. B, 105 035101 (2022)
[2] R. D. King-Smith, D. Vanderbilt, Phys. Rev. B, 47, 1651 (1993).
[3] J. Ahn, et al. Phys. Rev. X, 10, 041041 (2020)
*This work was supported by Ames Laboratory, the U.S. Department of Energy, Office of Science, Basic Energy Sciences, Materials Science and Engineering Division, under Contract No. DEAC02-07CH11358. The Terahertz instrument was supported in part by the National Quantum Information Science Research Center and Superconducting Quantum Materials Systems Center.
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